`|x+3|+10-5x=0`
`<=>|x+3|=5x-10(x>=2)`
`+)x+3=5x-10`
`<=>4x=13`
`<=>x=13/4(tm)`
`+)x-3=10-5x`
`<=>6x=13`
`<=>x=13/6(tm)`
Vậy `S={13/4,13/6}`
\(\left|x+3\right|+10-5x=0\)
\(\Leftrightarrow\left|x+3\right|=5x-10\)
\(\Leftrightarrow\left\{{}\begin{matrix}5x-10\ge0\\\left[{}\begin{matrix}x+3=5x-10\\x+3=10-5x\end{matrix}\right.\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}x\ge2\\\left[{}\begin{matrix}x=\dfrac{13}{4}\left(N\right)\\x=\dfrac{7}{6}\left(L\right)\end{matrix}\right.\end{matrix}\right.\)
Giải:
\(\left|x+3\right|+10-5x=0\)
\(\Rightarrow\left|x+3\right|=5x-10\)
\(\Rightarrow\left[{}\begin{matrix}5x-10=x+3\\5x-10=x-3\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=\dfrac{13}{4}\\x=\dfrac{7}{4}\end{matrix}\right.\)
Vậy \(x\in\left\{\dfrac{13}{4};\dfrac{7}{4}\right\}\)
Chúc bạn học tốt!
